Classify the triangle based on the side lengths 4.2, 6.4 and 7.6. right acute obtuse no triangle can be formed with given side lengths

The triangle is acute.

Basically, you need to use Pythagoras Theorem.

This is what you need to know then

In ABC with longest side c:

c²<a²+b² then the triangle is acute.

c²=a²+b² then the triangle is right.

c²>a²+b²  then the triangle is obtuse.

So let´s go Pythagoras Theorem for your triangle.

4.2²=17.64

6.4²=40.96

7.6²=57.76

57.76<17.64+40.96

So the triangle is acute

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)

in mathematics, a constraint is a condition of an optimization problem that the solution must satisfy. there are several types of constraints—primarily equality constraints, inequality constraints, and integer constraints. the set of candidate solutions that satisfy all constraints is called the feasible set.

hoped i'm right lol